Answer:
Part A
The work done in pulling the bucket to the top of the well is 1,775 ft.·lb
Part B
By Reimann approximation, the work done is 2,130 ft.·lb
Step-by-step explanation:
Part A
The parameters of the filled bucket of water being pulled upwards are;
The mass of the bucket = 5 lb
The mass of the rope = Negligible
The mass of water that fills the bucket = 38 lb
The rate at which the bucket is pulled up = 1.5 ft./s
The rate at which the bucket leaks, l = 0.15 lb/s
The height in feet above the bottom of the well = x
Therefore, we have;
Height of the bucket, x = 1.5·t
The weight of the bucket after a given time, t, W = 38 - 0.15·t
The time it takes to pull the bucket to the top of the well, t = d/v = 50/1.5 = 100/3 s. = [tex]33.\overline3[/tex] s
We have;
[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {F} \, dx[/tex]
x = 1.5·t, F = Weight of the bucket, W = 38 - 0.15·t
[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {(38-0.15\cdot t)} \, \cdot 1.5\cdot dt = \int\limits^{t = 33.\overline 3}_{t = 0} {(57-0.225\cdot t)} \, dt[/tex]
[tex]W = [57\cdot t - 0.225 \cdot t^2]_0^{33.\overline 3}[/tex]
Therefore, we have;
W = (57 × [tex]33.\overline3[/tex] - (0.225/2) × [tex]33.\overline3[/tex]²) - 0 = 1,775 ft.·lb
The work done in pulling the bucket to the top of the well, W = 1,775 ft.·lb
Part B
By summing the areas of the rectangular areas on the graph, we have
W = 10 × 38 + 10 × (38 - 0.1×10) + 10 × (38 - 0.1 × 20) + 10 × (38 - 0.1 × 30) + 10 × (38 - 0.1 × 40) + 10 × (38 - 0.1 × 50) = 2,130
Therefore, by left Reimann approximation, the work done, W = 2,130 ft.·lb
(More precisely, we have;
The weight at the bottom, F₁ = 38 lb.
The weight at the top of the well, F₂ = 38 - 0.15 × 100/3 = 33
∴ F₂ = 33 lb.
The average weight, [tex]F_{average}[/tex] = (F₁ + F₂)/2 = (38 lb. + 33 lb.)/2 = 35.5 lb.
Therefore, the work done, [tex]F_{average}[/tex] × d = 35.5 lb × 50 ft. = 1,775 ft.lb
The work done, W = 1,775 ft.lb)
Answer This page: BIG REWARD GRANTED
What is 999999999999999999e+99999999999999999999x999999999999999999999e+999999999999999
(my friends challenged me)
Answer:
I believe the answer for this would be infinity
There is no answer to this question it is undefined
ill mark brainlist plss he,p
Answer:
blue and red
Step-by-step explanation:
hope it helped
I need help Please help me
349324923420 × 4π × 9π × 9908=?????
FREE AWARD!!!!!
1.2297528e+18
There ya go
answer the qui of the day you have 7 quetion to answer and i give you 20 ponits
Answer:
all of them are correct
Hiya! :)
Answer:
They are all correct
Hope this helped!!!
Use Law of Sines or Law of Cosines to solve for the missing parts of each triangle
Answer:
[tex]x = 9.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Using law of sine, we have:
[tex]\frac{a}{sin A} = \frac{b}{Sin B}[/tex]
So, we have:
[tex]\frac{x}{sin 32} = \frac{18}{Sin 100}[/tex]
Make x the subject
[tex]x = \frac{18 * sin 32}{Sin 100}[/tex]
[tex]x = \frac{18 * 0.5299}{0.9848}[/tex]
[tex]x = 9.685[/tex]
[tex]x = 9.7[/tex] -- approximated
Pls awnser the question I'm stuck
Aditi fed her dog 1 1/2
cups of dog food in the morning and
3/4 of a cup of dog food in the evening. How many cups did she feed her dog in all?
2. A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4, 2) ; the location of the bench is (0, 2) ; and the location of the center of the slide is (0, 5).
(a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the center of the slide? Explain your reasoning.
(b) What type of triangle is created by the three locations? Explain.
Answer:
(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.
(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.
Step-by-step explanation:
I already explained in the answer. Hope this helps and gets you an 100%
:)
Answer:
4 units, 3 units
(b) Right-angled triangle
Step-by-step explanation:
6 3/4"
What is 6 divided by 3/4
Answer:
8
Step-by-step explanation:
6÷[tex]\frac{3}{4}[/tex]
To make it easier, let's write 6 as a fraction.
[tex]6=\frac{6}{1}[/tex]
Now we get:
[tex]\frac{6}{1}[/tex]÷[tex]\frac{3}{4}[/tex]
Flip the numbers of [tex]\frac{3}{4}[/tex] and multiply instead of dividing and we get:
[tex]\frac{6}{1} *\frac{4}{3}=\frac{24}{3} =8[/tex]
Answer: 8
Step-by-step explanation:
6/1 * 3/4
cross multiply
8
5 less than half a number, x
please help i will give you the brainliest answer
Answer: 1/2x -5
Step-by-step explanation:
Half of x , less 5. (5 less just means subtract)
Diane sells candles online and ships them to her customers. Each candle weighs 1.5 pounds. When a customer orders more than one candle, Diane ships all of the customer's candles in one box. She weighs the box to determine shipping cost. This table shows the weight per shipment. Choose ALL amounts that could be added to this table. A) 4.5 B) 5 C) 6 D) 6.5 E) 7
Answer:Its b
Step-by-step explanation:
Please answer both question above and below
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.
What is the area of the trapezoid?
28 cm
36 cm
45 cm
90 cm
Answer:
Step-by-step explanation:
Could u attach a clear image??
what's is the slope of the line? please answer
Answer:
The answer to your question is: -2/3
Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 5 inches long
Step-by-step explanation:
12 inches = 1 foot
11 inches + 6 inches = 17 inches = 1 foot 5 inches
1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches
Therefore, the walking board is 10 feet 5 inches long
3x^2 - 4X -3 discreet or continuous
1/3 divided by 6 CAN ANYONE ANSWER THIS?
Answer:
1/18
Step-by-step explanation:
Answer:
1/18
Step-by-step explanation:
1/3 / 6/1 =1/3 x 1/6 = 1/18
• En un vuelo con 200 pasajeros que se
dirigía a Miami, algunos pasajeros (clase
económica) pagaron $200.00 y otros
(primera clase) $250.00 por sus boletos
de avión. Si los ingresos por concepto de
venta de boletos en ese vuelo fueron de
$44,000.00, ¿cuántos boletos se
vendieron de cada categoría?
Answer:
1356545986--&_67ghtyojioftu?fuñt?fufldtuñf
30 POINTS PLS HELP
The slope of the linear function y= 5/4x +1/2 is changed to 5/8 where y= 5/8x + 1/2. Identify the transformation required to produce the new slope, state the equation of the transformed function, ande explainw hat the graph of the tranfsformed line look like.
Here is the picture of the question
Answer:
We proceed to use the following operations: (i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex]), (ii) Vertical compression ([tex]c = \frac{1}{2}[/tex]), (iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex]). The graph is presented below.
Step-by-step explanation:
To transform [tex]y = \frac{5}{4}\cdot x + \frac{1}{2}[/tex] into [tex]y = \frac{5}{8}\cdot x + \frac{1}{2}[/tex], we apply the following steps:
(i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex])
[tex]g(x) = f(x) +k[/tex] (1)
(ii) Vertical compression ([tex]c = \frac{1}{2}[/tex])
[tex]g(x) = c\cdot f(x)[/tex] (2)
(iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex])
[tex]g(x) = f(x) + k[/tex]
Now, we proceed to transform the primitive expression:
Step 1
[tex]f'(x) = \frac{5}{4}\cdot x[/tex]
Step 2
[tex]f''(x) = \frac{5}{8}\cdot x[/tex]
Step 3
[tex]g(x) = \frac{5}{8}\cdot x + \frac{1}{2}[/tex]
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of
8/3
Answer: f(x) = 4*cos(pi*(6/8)*x) + 2
Step-by-step explanation:
A generic cosine function is written as:
f(x) = A*cos(w*x + p) + M
where:
A = amplitude
w = angular frequency
p = phase
M = midline.
We know that:
the midline is 2, then M = 2
the amplitude is 4, then A = 4
There is no information about the phase, so p = 0.
And we know that the period is 8/3.
The period is written as T, and the relation between the period and the angular frequency is:
T = 2*pi/w
Then we have:
8/3 = 2*pi/w
w = (2*pi)*(3/8) = pi*(6/8)
where pi = 3.14
Then we have:
w = pi*(6/8)
A = 4
M = 2
p = 0
Then the cosine function is:
f(x) = 4*cos(pi*(6/8)*x) + 2.
y у
45°
x 100°
y = [?
The value of y is 55°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
x and 100° together form a straight angle.
x + 100 = 180
x = 180 - 100
x = 80
Now,
45° + x + y = 180
45 + 80 + y = 180
y = 180 - 125
y = 55°
Thus,
y = 55°.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Find the perimeter of the polygon.
a. 25 cm
b. 20 cm
C. 30 cm
d. 28 cm
25 hope that helps you out
Find the sum of the following series. Round to the nearest hundredth if necessary.
8+24+72+...+12754584
You are the manager of a firm that sells its product in a competitive market at a price of $48. Your firm's cost function is C = 60 + 2Q 2. Your firm's maximum profits are
Answer:
the correct answer is truly
Step-by-step explanation:
STOP CHEATING ON THID APP
What is the answer ?
Answer:
20x + -10xy
Step-by-step explanation:
10x · 2 ⇒ 20x
10x · -y ⇒ -10xy
Therefore, it is 20x - 10xy.
Answer:
Check pdf
Step-by-step explanation:
Joe bought a video game that was 20% off. The game was originally $55. What was the sale price of the game?
A recipe uses 3 eggs to make 2 dozen cookies. There are 12 cookies in 1 dozen. How many eggs are used to make 6 dozen cookies? A.3 B.6 C.9 D.12 please help it would mean a lot <3
Answer:
C.9
Step-by-step explanation:
2 doz =3eggs
4 doz = 6 eggs
6 doz = 9 eggs
In the first 15 seconds of the rollercoaster, passengers are carried up a 90-meter hill, plunged down 62 meters, and quickly taken back up a 38-meter rise. How much higher or lower from the start of the ride are they after these 15 seconds?
Answer:
90-62=28
28+38=66
90-66=24
in 15 seconds they are 24 meters lower
8. A contractor plans to brace a radio antenna with another cable. Cable X is already attached to the antenna at a height of 60 feet and forms a 58 degree angle with the ground, as shown below. Radio Antenna Cable x 60 feet Cable Y 58°
Answer:
142
Step-by-step explanation:
.jdnxixsykxkxmxmxmmxmmsmsmsmsmxmx